Well, I did a quick Google search on John Carpenter. He directs as well as writing music, so I have trouble knowing for sure which he did for what. I think he wrote music for Big Trouble in Little China, The Fog, and Vampires, as well as others. His father was a university professor of music, so that was in his blood.
He is known mainly for sci-fy and horror, but he did win an Oscar years ago for a short subject, maybe when he was just out of film school. Otherwise his awards all seem to come from the sci-fi/horror aficionados.
RE Rosemary's Baby, that is such an iconic film that my kids wanted to see it just so they would understand the pop culture references. It might not be your cuppa, but it is definitely better made than many horror films. Ruth Gordon even won an Oscar for Best Supporting Actress in it. Her performance is a comic gem.
Have to love Nightmare Before Christmas!